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Finding the Fourth Proportional to 34,989.12, 52,487.04 and 11,616

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Solution

The fourth proportional to 34,989.12, 52,487.04 and 11,616 is: 17,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,989.12 : 52,487.04 = 11,616 : x
  2. Step 2: Convert to fraction form
    34,989.12/52,487.04 = 11,616/x
  3. Step 3: Cross multiply
    34,989.12x = 52,487.04 × 11,616
  4. Step 4: Simplify right side
    34,989.12x = 609,689,456.64
  5. Step 5: Solve for x
    x = 609,689,456.64/34,989.12
  6. Step 6: Final answer
    x = 17,425.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.